Question

5m-3n=19;m-6n=-7 simultaneously equation

Answer 1

5m-3n = 19
m-6n = -7
multiply equation 2 with 5
5m-3n =19
5m-30n =-35
subtract 2 from 1
27n =54
n =2
substituting in n=2 in 1
5m - 6 =19
5m =25
m =5

Answer 2

Answer:

5m – 3n = 19 .....(I)

m – 6n = –7 .....(II)

Multiplying (I) with 2 we get

10m – 6n = 38 .....(III)

m – 6n = –7 .....(IV)

Subtracting (IV) from (III) we get

10m-m-6n-(-6n)=38-(-7)

⇒9m=45

⇒m=45/9

=5

Putting the value of m = 5 in (II) we get

5-6n=-7⇒-6n=-7-5

⇒-6n=-12

⇒n=-12/-6

=2

Thus, (m, n) = (5, 2).